As for the moving company, I recommend you to find some old-fashioned moving companies (Seven Seas as far as I know), because I also entrusted them to do it when I moved to London last time. I used a big mobile wooden cabinet, about six square cents. Except for the oversized furniture, you should be able to put down everything you usually use. A cupboard is all my own things, so I chose the service of a moving company. Quotation 13000 plus inspection fee of 250 (just a rough idea, I can't remember the details). It takes about 60 days.
I hope it works for you.